Lucas sequence (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Lucas sequence" in English language version.

Last modified: 16:24:36, 29 July 2026 (UTC)

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65doi.org

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For such relations and divisibility properties, see (Carmichael 1913), (Lehmer 1930) or (Ribenboim 1996, 2.IV). Lehmer, D. H. (1930). "An extended theory of Lucas' functions". Annals of Mathematics. 31 (3): 419–448. Bibcode:1930AnMat..31..419L. doi:10.2307/1968235. JSTOR 1968235. Ribenboim, Paulo (1996). The New Book of Prime Number Records (eBook ed.). Springer-Verlag, New York. doi:10.1007/978-1-4612-0759-7. ISBN 978-1-4612-0759-7.

ams.org (Global: 434^th place; English: 249^th place)

mathscinet.ams.org

Bilu, Yuri; Hanrot, Guillaume; Voutier, Paul M.; Mignotte, Maurice (2001). "Existence of primitive divisors of Lucas and Lehmer numbers" (PDF). J. Reine Angew. Math. 2001 (539): 75–122. doi:10.1515/crll.2001.080. MR 1863855. S2CID 122969549.

doi.org (Global: 2^nd place; English: 2^nd place)

For such relations and divisibility properties, see (Carmichael 1913), (Lehmer 1930) or (Ribenboim 1996, 2.IV). Lehmer, D. H. (1930). "An extended theory of Lucas' functions". Annals of Mathematics. 31 (3): 419–448. Bibcode:1930AnMat..31..419L. doi:10.2307/1968235. JSTOR 1968235. Ribenboim, Paulo (1996). The New Book of Prime Number Records (eBook ed.). Springer-Verlag, New York. doi:10.1007/978-1-4612-0759-7. ISBN 978-1-4612-0759-7.
Yabuta, M (2001). "A simple proof of Carmichael's theorem on primitive divisors" (PDF). Fibonacci Quarterly. 39 (5): 439–443. doi:10.1080/00150517.2001.12428701. Retrieved 4 October 2018.
Bilu, Yuri; Hanrot, Guillaume; Voutier, Paul M.; Mignotte, Maurice (2001). "Existence of primitive divisors of Lucas and Lehmer numbers" (PDF). J. Reine Angew. Math. 2001 (539): 75–122. doi:10.1515/crll.2001.080. MR 1863855. S2CID 122969549.
John Brillhart; Derrick Henry Lehmer; John Selfridge (April 1975). "New Primality Criteria and Factorizations of 2^m ± 1". Mathematics of Computation. 29 (130): 620–647. doi:10.1090/S0025-5718-1975-0384673-1. JSTOR 2005583.
D. Bleichenbacher; W. Bosma; A. K. Lenstra (1995). "Some Remarks on Lucas-Based Cryptosystems" (PDF). Advances in Cryptology — CRYPT0' 95. Lecture Notes in Computer Science. Vol. 963. pp. 386–396. doi:10.1007/3-540-44750-4_31. ISBN 978-3-540-60221-7.

iacr.org (Global: 6,361^st place; English: 4,159^th place)

eprint.iacr.org

Atnashev, Pavel. "A simpler alternative to Lucas–Lehmer–Riesel primality test". Cryptology ePrint Archive.

inria.fr (Global: 6,372^nd place; English: 5,582^nd place)

hal.inria.fr

Bilu, Yuri; Hanrot, Guillaume; Voutier, Paul M.; Mignotte, Maurice (2001). "Existence of primitive divisors of Lucas and Lehmer numbers" (PDF). J. Reine Angew. Math. 2001 (539): 75–122. doi:10.1515/crll.2001.080. MR 1863855. S2CID 122969549.

jstor.org (Global: 23^rd place; English: 15^th place)

For such relations and divisibility properties, see (Carmichael 1913), (Lehmer 1930) or (Ribenboim 1996, 2.IV). Lehmer, D. H. (1930). "An extended theory of Lucas' functions". Annals of Mathematics. 31 (3): 419–448. Bibcode:1930AnMat..31..419L. doi:10.2307/1968235. JSTOR 1968235. Ribenboim, Paulo (1996). The New Book of Prime Number Records (eBook ed.). Springer-Verlag, New York. doi:10.1007/978-1-4612-0759-7. ISBN 978-1-4612-0759-7.
John Brillhart; Derrick Henry Lehmer; John Selfridge (April 1975). "New Primality Criteria and Factorizations of 2^m ± 1". Mathematics of Computation. 29 (130): 620–647. doi:10.1090/S0025-5718-1975-0384673-1. JSTOR 2005583.

math.ca (Global: low place; English: low place)

fq.math.ca

Yabuta, M (2001). "A simple proof of Carmichael's theorem on primitive divisors" (PDF). Fibonacci Quarterly. 39 (5): 439–443. doi:10.1080/00150517.2001.12428701. Retrieved 4 October 2018.

psu.edu (Global: 299^th place; English: 159^th place)

citeseerx.ist.psu.edu

P. J. Smith; M. J. J. Lennon (1993). "LUC: A new public key system". Proceedings of the Ninth IFIP Int. Symp. On Computer Security: 103–117. CiteSeerX 10.1.1.32.1835. {{cite journal}}: Cite uses deprecated parameter |citeseerx= (help)

ru.nl (Global: 7,619^th place; English: 6,271^st place)

math.ru.nl

D. Bleichenbacher; W. Bosma; A. K. Lenstra (1995). "Some Remarks on Lucas-Based Cryptosystems" (PDF). Advances in Cryptology — CRYPT0' 95. Lecture Notes in Computer Science. Vol. 963. pp. 386–396. doi:10.1007/3-540-44750-4_31. ISBN 978-3-540-60221-7.

sagemath.org (Global: low place; English: low place)

doc.sagemath.org

"Combinatorial Functions - Combinatorics". doc.sagemath.org. Retrieved 2023-07-13.

semanticscholar.org (Global: 15^th place; English: 8^th place)

api.semanticscholar.org

Bilu, Yuri; Hanrot, Guillaume; Voutier, Paul M.; Mignotte, Maurice (2001). "Existence of primitive divisors of Lucas and Lehmer numbers" (PDF). J. Reine Angew. Math. 2001 (539): 75–122. doi:10.1515/crll.2001.080. MR 1863855. S2CID 122969549.

t5k.org (Global: low place; English: low place)

"Primality Proving 3.2 n+1 tests and the Lucas-Lehmer test". t5k.org.

Lucas sequence (English Wikipedia)

adsabs.harvard.edu (Global: 14th place; English: 9th place)

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ams.org (Global: 434th place; English: 249th place)

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doi.org (Global: 2nd place; English: 2nd place)

iacr.org (Global: 6,361st place; English: 4,159th place)

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inria.fr (Global: 6,372nd place; English: 5,582nd place)

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jstor.org (Global: 23rd place; English: 15th place)

math.ca (Global: low place; English: low place)

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psu.edu (Global: 299th place; English: 159th place)

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ru.nl (Global: 7,619th place; English: 6,271st place)

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sagemath.org (Global: low place; English: low place)

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semanticscholar.org (Global: 15th place; English: 8th place)

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t5k.org (Global: low place; English: low place)

adsabs.harvard.edu (Global: 14^th place; English: 9^th place)

ams.org (Global: 434^th place; English: 249^th place)

doi.org (Global: 2^nd place; English: 2^nd place)

iacr.org (Global: 6,361^st place; English: 4,159^th place)

inria.fr (Global: 6,372^nd place; English: 5,582^nd place)

jstor.org (Global: 23^rd place; English: 15^th place)

psu.edu (Global: 299^th place; English: 159^th place)

ru.nl (Global: 7,619^th place; English: 6,271^st place)

semanticscholar.org (Global: 15^th place; English: 8^th place)